COURSE OBJECTIVES. Academic Year : Semester : I. To prepare the students to have a basic knowledge in the analysis of Electric Networks

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1 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) COURSE OBJECTIVES Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR On completion of this Subject/Course the student shall be able to: S.No Objectives To prepare the students to have a basic knowledge in the analysis of Electric Networks To solve the given circuit with various theorems and methods To analyse the various three phase circuits star and delta connections. To distinguish between tie set and cut set methods for solving various circuits. To design various types of filters. To relate various two port parameters and transform them. Signature of HOD Date: Signature of faculty Date:

2 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : Semester : I COURSE OUTCOMES Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR. The expected outcomes of the Course/Subject are: S.No 3 Outcomes Will able to articulate in working of various components of a circuit. Will be familiar with ac and dc circuits solving. Will be ready with the most important concepts like mesh and nodal analysis. 4 Ability to Solve Circuits using Tree, Node, Branch,Cut set,tie Set Methods. 5 6 Ability to measure Three phase voltages and current, active, reactive powers Ability to convert Three phase Star to Three phase Delta circuits and Vice-Versa. 7 Ability to Express given Electrical Circuit in terms of A,B,C,D and Z,Y Parameter Model and Solve the circuits. Signature of HOD Date: Signature of faculty Date:

3 Vision of the Institute Gokaraju Rangaraju Institute of Engineering and Technology (An Autonomous Institute under JNTUH) Department/Program-EEE To be among the best of the institutions for engineers and technologists with attitudes, skills and knowledge and to become an epicenter of creative solutions. Mission of the Institute To achieve and impart quality education with an emphasis on practical skills and social relevance. Vision of the Department To impart technical knowledge and skills required to succeed in life, career and help society to achieve self sufficiency. Mission of the Department To become an internationally leading department for higher learning. To build upon the culture and values of universal science and contemporary education. To be a center of research and education generating knowledge and technologies which lay groundwork in shaping the future in the fields of electrical and electronics engineering. To develop partnership with industrial, R&D and government agencies and actively participate in conferences, technical and community activities. Program Educational Objectives: This programme is meant to prepare our students to professionally thrive and to lead. During their progression: PEO : Graduates will have a successful technical or professional careers, including supportive and leadership roles on multidisciplinary teams. PEO : Graduates will be able to acquire, use and develop skills as required for effective professional practices.

4 PEO 3: Graduates will be able to attain holistic education that is an essential prerequisite for being a responsible member of society. PEO 4: Graduates will be engaged in life-long learning, to remain abreast in their profession and be leaders in our technologically vibrant society. Program outcomes. a) Ability to apply knowledge of mathematics, science, and engineering. b) Ability to design and conduct experiments, as well as to analyze and interpret data. c) Ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability. d) Ability to function on multi-disciplinary teams. e) Ability to identify, formulates, and solves engineering problems. f) Understanding of professional and ethical responsibility. g) Ability to communicate effectively. h) Broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context. i) Recognition of the need for, and an ability to engage in life-long learning. j) Knowledge of contemporary issues. k) Ability to utilize experimental, statistical and computational methods and tools necessary for engineering practice. l) Graduates will demonstrate an ability to design electrical and electronic circuits, power electronics, power systems; electrical machines analyze and interpret data and also an ability to design digital and analog systems and programming them. Course educational objectives: Name of the Course: Network Theory On completion of this Subject/Course the student shall be able to. Prepare the students to have a basic knowledge in the analysis of Electric Networks.. Solve the given circuit with various theorems and methods. 3. Analyse the various three phase circuits star and delta connections. 4. Distinguish between tie set and cut set methods for solving various circuits. 5. Design various types of filters. 6. Relate various two port parameters and transform them.

5 Course outcomes: At the end of the course student will have ability to. Articulate in working of various components of a circuit.. Familiar with ac and dc circuits solving. 3. Ready with the most important concepts like mesh and nodal analysis. 4. Solve Circuits using Tree, Node, Branch,Cut set,tie Set Methods. 5. Measure Three phase voltages and current, active, reactive powers. 6. Convert Three phase Star to Three phase Delta circuits and Vice-Versa. 7. Express given Electrical Circuit in terms of A,B,C,D and Z,Y Parameter model and solve the circuits. Assessment methods:. Regular attendance to classes.. Written tests clearly linked to learning objectives 3. Classroom assessment techniques like tutorial sheets and assignments. 4. Seminars.. Program Educational Objectives (PEOs) Vision/Mission Matrix (Indicate the relationships by mark X ) PEOs Graduates will have a successful technical or professional careers, including supportive and leadership roles on multidisciplinary teams Graduates will be able to acquire, use and develop skills as required for effective professional practices Graduates will be able to attain holistic education that is an essential prerequisite for being a responsible member of society Graduates will be engaged in life-long learning, to remain abreast in their profession and be leaders in our technologically vibrant society. Higher Learning Mission of department Contemporary Education Technical knowledge Research X X X X X X X X X X X

6 . Program Educational Objectives(PEOs)-Program Outcomes(POs) Relationship Matrix (Indicate the relationships by mark X ) P-Outcomes a b c d e f g h i j k l PEOs X X X X X X X X X X X 3 X X X X X X 4 X X X X X X X X 3. Course Objectives-Course Outcomes Relationship Matrix (Indicate the relationships by mark X ) Course-Outcomes Course-Objectives X X X X X X X X X X 3 X X X 4 X X 5 X X 6 X X X 4. Course Objectives-Program Outcomes (POs) Relationship Matrix (Indicate the relationships by mark X ) P-Outcomes a b c d e f g h i j k l C-Objectives X X X X X X X X X X X X X X X 3 X X X X X X X X X X X 4 X X X X X X X 5 X X X X X X 6 X X X X X X

7 5. Course Outcomes-Program Outcomes (POs) Relationship Matrix (Indicate the relationships by mark X ) P-Outcomes a b c d e f g h i j k l C-Outcomes X X X X X 3 X X X 4 X X X X 5 X X X X 6 X X X X 7 X X X X X 6. Courses (with title & code)-program Outcomes (POs) Relationship Matrix (Indicate the relationships by mark X ) P-Outcomes Courses Network Theory- GRA08 a b c d e f g h i j k l X X X X X X X X X X X 7. Program Educational Objectives (PEOs)-Course Outcomes Relationship Matrix (Indicate the relationships by mark X ) P-Objectives (PEOs) 3 4 Course-Outcomes X X X X X X 3 X X 4 X X X 5 X X 6 X X 7 X X X

8 8. Assignments & Assessments-Program Outcomes (POs) Relationship Matrix (Indicate the relationships by mark X ) P-Outcomes a b c d e f g h i j k l Assessments X X X X X X X X X X X X 3 X X X X X X X X 4 X X X X X X 9. Assignments & Assessments-Program Educational Objectives (PEOs) Relationship Matrix (Indicate the relationships by mark X ) P-Objectives (PEOs) 3 4 Assessments X X X X X X 3 X X 4 X X X X Assessment process and Relevant Surveys conducted: 0. Constituencies -Program Outcomes (POs) Relationship Matrix (Indicate the relationships by mark X ). P-Outcomes a b c d e f G h i j k l Constituencies

9 Assessment Process and Areas of improvements: Prepare the following Matrix:. The improvements Matrix are summarized below and described in the text that follows. Hint: Example: Proposed Change Year Proposed Year Implemented Old Version New Version Comments Add new topic Network Synthesis No Network Synthesis in curriculum Network Synthesis Concepts Useful for various competitive exams

10 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) GUIDELINES TO STUDY THE COURSE / SUBJECT Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR. Guidelines to study the Course/ Subject: NETWORK THEORY. Course Design and Delivery System (CDD): The Course syllabus is written into number of learning objectives and outcomes. These learning objectives and outcomes will be achieved through lectures, assessments, assignments, experiments in the laboratory, projects, seminars, presentations, etc. Every student will be given an assessment plan, criteria for assessment, scheme of evaluation and grading method. The Learning Process will be carried out through assessments of Knowledge, Skills and Attitude by various methods and the students will be given guidance to refer to the text books, reference books, journals, etc. The faculty be able to Understand the principles of Learning Understand the psychology of students Develop instructional objectives for a given topic Prepare course, unit and lesson plans Understand different methods of teaching and learning Use appropriate teaching and learning aids Plan and deliver lectures effectively Provide feedback to students using various methods of Assessments and tools of Evaluation Act as a guide, advisor, counselor, facilitator, motivator and not just as a teacher alone Signature of HOD Date: Signature of faculty Date:

11 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) COURSE SCHEDULE Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR. The Schedule for the whole Course / Subject is: Duration (Date) Total No. S. No. Description From To Of Periods Three Phase Circuits 9/07/3 06/08/ Two-Port Networks 07/08/3 06/09/3 4 Transient Analysis 0/09/3 4/09/3 0 Magnetic Circuits and Network Topology 7/09/3 6/0/3 3 Filters /0/3 0//3 0 Total No. of Instructional periods available for the course: Hours / Periods

12 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) ILLUSTRATIVE VERBS FOR STATING INSTRUCTIONAL OBJECTIVES These verbs can also be used while framing questions for Continuous Assessment Examinations as well as for End Semester (final)examinations ILLUSTRATIVE VERBS FOR STATING GENERAL OBJECTIVES/OUTCOMES Know Understand Analyze Generate Comprehend Apply Design Evaluate ILLUSTRATIVE VERBS FOR STATING SPECIFIC OBJECTIVES/OUTCOMES: A. COGNITIVE DOMAIN (KNOWLEDGE) Knowledge Comprehension Understanding Application of knowledge & comprehension Analysis Of whole w.r.t. its constituents Synthesis Evaluation Judgment Define Convert Change Breakdown Categorize Appraise Identify Defend Compute Differentiate Combine Compare Label Describe (a Demonstrate Discriminate Compose Conclude List Procedure) Deduce Distinguish Compose Contrast March Distinguish Manipulate Separate Create Criticize Reproduce Estimate Modify Subdivide Devise Justify Select Explain why/how Predict Design Interpret State Extend Prepare Generate Support Generalize Relate Organize Give examples Show Plan Illustrate Solve Rearrange Infer Reconstruct Summarize Reorganize Revise B. AFFECTIVE DOMAIN (ATTITUDE) C. PSYCHOMOTOR DOMAIN (SKILLS) Adhere Assist Attend Change Develop Help Influence Resolve Select Serve Share Bend Dissect Insert Perform Straighten Calibrate Draw Keep Prepare Strengthen Compress Extend Elongate Remove Time Conduct Feed Limit Replace Transfer Connect File Manipulate Report Type Convert Grow Move Precisely Reset Weigh Decrease Increase Paint Set

13 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : Semester : I SYLLABUS Name of the Program: B.Tech.. Electrical..... Year:.. II.. Course/Subject:... Network Theory... Course Code:GRA08 Name of the Faculty:... M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR. NETWORK THEORY. UNIT I Three Phase Circuits- Phase sequence Star and delta connection Relation between line and phase voltages and currents in balanced systems Analysis of balanced and Unbalanced 3 phase circuits Measurement of active and reactive power. UNIT II Network Parameters- Network functions driving point and transfer impedance function networks- poles and zeros necessary conditions for driving point function and for transfer function Two port network parameters Z, Y, ABCD and hybrid parameters and their relations -port network parameters using transformed variables. UNIT-III Transient Analysis - Transient response of R-L, R-C, R-L-C circuits (Series and Parallel combinations) for d.c. and sinusoidal excitations Initial conditions Classical method and laplace transform methods of solutions Transient response of the above circuits for different inputs such as step, ramp, pulse and impulse by using laplace transforms method. UNITIV Magnetic Circuits Faraday s laws of electromagnetic induction concept of self and mutual inductance dot convention coefficient of coupling composite magnetic circuit - Analysis of series and parallel magnetic circuits Network topology - Definitions Graph Tree, Basic cutset and Basic Tieset matrices for planar networks Loop and Nodal methods of analysis of Networks with dependent & independent voltage and current sources - Duality & Dual networks. UNIT V Filters: Introduction to filters low pass high pass and band pass RC, RL, filters- constant K filters

14 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Department of Electrical and electronics II B.Tech I Sem A-Section (03-4) Day/Hour 8:00-0:30 0:30- :00 Monday :00-:30 :30-:00 Tuesday Wednesday Thursday NT MS 03 NT MS 03 Friday Saturday NT MS 03(:00-)

15 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : Semester : I SCHEDULE OF INSTRUCTIONS COURSE PLAN Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR S.No Reference Text Books Author T Fundamentals of Electric Circuits(3 rd Edition) Alexander and N.O Sadiku T Engineering Circuit Analysis(8 th Edition) William Hayt, Kimmerly & Dublin T3 Electric Circuits A.Chakrabarthy T4 Network Theory A.Sudhakar & Shyammohan S Palli Unit No Lesson No. Date No. of Periods Topics / Sub-Topics 9/07/3 Star & Delta sources and loads, three phase waveform, balanced source and load, phase sequence and problems on phase sequence 3/07/3 Star-star analysis, phase-line voltages and currents, problems on power 4/07/3 Delta-delta analysis, phase-line voltages and currents, problems on power 6/07/3 Star-delta analysis & Delta-star analysis, Problems 30/07/3 Unbalanced Circuits, Unbalanced source and loads, delta connected unbalanced connections 3/07/3 Four-wire star connected unbalanced load, problems Objectives & Outcomes Nos. CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 References (Text Book, Journal ) Page Nos.: to T Pg 479 to 48 T Pg 48 to 485 T Pg 488 to 490 T Pg 486 to 488 and 490 to 494 T Pg 500 to 50 T Pg 50 to 503

16 /08/8 Three wire star connected unbalanced connections, delta to star and Millmans method, Problems 05/08/3 Power measurement by three wattmeter method, problems 06/08/3 Power measurement by two wattmeter method, power factor calculation, reactive power measurement by single wattmeter method, problems 07/08/3 -port network parameters necessity, advantages and applications, z and y parameters 3/08/3 h,g,t,t parameters equations and calculations 4/08/3 Problems on -port parameters, interrelation between various parameters 7/08/3 Continuation of interrelation between various parameters 8/08/3 Derivation of conditions for symmetry & reciprocity and problems 30/08/3 -port networks using transformed variables 03/09/3 Network functions driving point and transfer impedance function networks 06/09/3 Poles and zeros, necessary conditions for driving point function and transfer function 0/09/3 Transient response of series and parallel R-L, R-C circuits and problems with dc excitations. /09/3 Transient response of series and parallel R-L-C using DE and L.T approach with dc excitation 3/09/3 Problems on transient analysis using dc excitation 7/09/3 Transient response of R-L, R-C series circuits for various inputs like step, ramp, pulse and impulse and problems 0/09/3 Transient response of series and parallel R-L, R-C circuits with sinusoidal excitation by DE and LT method 4/09/3 Transient response of series and parallel R-L, R-C circuits and problems with dc excitations. 7/09/3 Transient response of series and parallel R-L-C using DE and L.T approach with sinusoidal excitation CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 T Pg503 to 504 T Pg 478 to 48 T Pg 48 to 483 T3 Pg 485 to 503 T3 Pg 504 to 507 T3 Pg 57 to 50 T3 Pg 57 to 50 T3 Pg 508 to 50 T4 Pg 6.0 to 6.4 T4 Pg 4.4 to 4.8 T4 Pg 4.6 to 4.5 T4 Pg. to.6 T4 Pg.8 to.0 T4 Pg.0 to. T3 Pg 355 to 360 T4 Pg 3. to 3.5 T4 Pg 3. to 3.5 T4 Pg 3.9 to 3.

17 0/0/3 Definitions-Graph-Tree-Links Chords-Cotree-Incidence matrix-reduced incidencematrix 08/0/3 Basic cutset, basic tieset matrices for planar networks and problems 09/0/3 Loop and nodal methods of analysis of networks with dependent and independent voltage and current sources. Duality and Dual networks /0/3 Faradays laws of electro magnetic induction, Concept of self and mutual inductance 5/0/3 Dot convention, coefficient of coupling, analysis of series magnetic circuit 6/0/3 Analysis of parallel magnetic circuit, composite magnetic circuit and various problems /0/3 Definitions of filters, classification, schematic of filters /0/3 Low pass RL-RC filters and problems /0/3 High pass RL-RC filters and problems /0/3 Band pass RL-RC filters and problems /0/3 Applications of filters in practice and problems //3 Continuation of problems on filters CObj:,,4 CO:,,3,4 CObj:,,4 CO:,,3,4 CObj:,,4 CO:,,3,4 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:,,5 CO:, CObj:,,5 CO:, CObj:,,5 CO:, CObj:,,5 CO:, CObj:,,5 CO:, CObj:,,5 CO:, T3 Pg 667 to 674 T3 Pg 674 to 678 T3 Pg 68 to 68 T3 Pg 455 to 456 T3 Pg 456 to 457 T3 Pg 457 to 458 T3 Pg 75 to 754 T3 Pg 756 to 759 T3 Pg 759 to 76 T3 Pg 764 to 767 T3 Pg 789 to 79 T3 Pg 79 to 794 Signature of HOD Date: Signature of faculty Date:

18 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : SCHEDULE OF INSTRUCTIONS UNIT PLAN Semester : I UNIT NO.: I. Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR S.No Reference Text Books Author T Fundamentals of Electric Circuits(3 rd Edition) Alexander and N.O Sadiku T Engineering Circuit Analysis(8 th Edition) William Hayt, Kimmerly & Dublin T3 Electric Circuits A.Chakrabarthy T4 Network Theory A.Sudhakar & Shyammohan S Palli Lesson No Date No. of Periods Topics / Sub - Topics 9/07/3 Star & Delta sources and loads, three phase waveform, balanced source and load, phase sequence and problems on phase sequence 3/07/3 Star-star analysis, phase-line voltages and currents, problems on power 4/07/3 Delta-delta analysis, phase-line voltages and currents, problems on power 6/07/3 Star-delta analysis & Delta-star analysis, Problems 30/07/3 Unbalanced Circuits, Unbalanced source and loads, delta connected unbalanced connections Objectives & Outcomes Nos. CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 References (Text Book, Journal ) Page Nos.: to T Pg 479 to 48 T Pg 48 to 485 T Pg 488 to 490 T Pg 486 to 488 and 490 to 494 T Pg 500 to 50 3/07/3 Four-wire star connected CObj:,,3 T Pg 50 to 503

19 6. unbalanced load, problems CO:,,3,5,6 7. 0/08/8 Three wire star connected unbalanced connections, delta to star and Millmans method, Problems 8. 05/08/3 Power measurement by three wattmeter method, problems 06/08/3 Power measurement by two 9. wattmeter method, power factor calculation, reactive power measurement by single wattmeter method, problems 0. CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 CObj:,,3 CO:,,3,5,6 T Pg503 to 504 T Pg 478 to 48 T Pg 48 to 483 Signature of HOD Date: Signature of faculty Date:

20 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : SCHEDULE OF INSTRUCTIONS UNIT PLAN Semester : I UNIT NO.: II. Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code:GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR Lesson No Date No. of Periods Topics / Sub - Topics 07/08/3 -port network parameters necessity, advantages and applications, z and y parameters 3/08/3 h,g,t,t parameters equations and calculations 4/08/3 Problems on -port parameters, interrelation between various parameters 7/08/3 Continuation of interrelation between various parameters 8/08/3 Derivation of conditions for symmetry & reciprocity and problems 30/08/3 -port networks using transformed variables 03/09/3 Network functions driving point and transfer impedance function networks 06/09/3 Poles and zeros, necessary conditions for driving point function and transfer function Objectives & Outcomes Nos. CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 CObj:,,6 CO:,,3,7 References (Text Book, Journal ) Page Nos.: to T3 Pg 485 to 503 T3 Pg 504 to 507 T3 Pg 57 to 50 T3 Pg 57 to 50 T3 Pg 508 to 50 T4 Pg 6.0 to 6.4 T4 Pg 4.4 to 4.8 T4 Pg 4.6 to 4.5

21 Signature of HOD Date: Signature of faculty Date:

22 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : SCHEDULE OF INSTRUCTIONS UNIT PLAN Semester : I UNIT NO.: III. Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR Lesson No Date No. of Periods Topics / Sub - Topics 0/09/3 Transient response of series and parallel R-L, R-C circuits and problems with dc excitations. /09/3 Transient response of series and parallel R-L-C using DE and L.T approach with dc excitation 3/09/3 Problems on transient analysis using dc excitation 7/09/3 Transient response of R-L, R-C series circuits for various inputs like step, ramp, pulse and impulse and problems 0/09/3 Transient response of series and parallel R-L, R-C circuits with sinusoidal excitation by DE and LT method 4/09/3 Transient response of series and parallel R-L, R-C circuits and problems with dc excitations. 7/09/3 Transient response of series and parallel R-L-C using DE and L.T Objectives & Outcomes Nos. CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 References (Text Book, Journal ) Page Nos.: to T4 Pg. to.6 T4 Pg.8 to.0 T4 Pg.0 to. T3 Pg 355 to 360 T4 Pg 3. to 3.5 T4 Pg 3. to 3.5 T4 Pg 3.9 to 3.

23 approach with sinusoidal excitation Signature of HOD Date: Signature of faculty Date:

24 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : SCHEDULE OF INSTRUCTIONS UNIT PLAN Semester : I UNIT NO.: IV. Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code:GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR Lesson No. Date No. of Periods Topics / Sub - Topics Objectives & Outcomes Nos. References (Text Book, Journal ) Page Nos.: to. 0/0/3 Definitions-Graph-Tree-Links- Chords-Cotree-Incidence matrix- Reduced incidencematrix 08/0/3 Basic cutset, basic tieset matrices. for planar networks and problems 09/0/3 Loop and nodal methods of 3. analysis of networks with dependent and independent voltage and current sources. Duality and Dual networks /0/3 Faradays laws of electro magnetic 4. induction, Concept of self and mutual inductance 5/0/3 Dot convention, coefficient of 5. coupling, analysis of series magnetic circuit 6/0/3 Analysis of parallel magnetic 6. circuit, composite magnetic circuit and various problems CObj:,,4 CO:,,3,4 CObj:,,4 CO:,,3,4 CObj:,,4 CO:,,3,4 CObj:, CO:,,3 CObj:, CO:,,3 CObj:, CO:,,3 T3 Pg 667 to 674 T3 Pg 674 to 678 T3 Pg 68 to 68 T3 Pg 455 to 456 T3 Pg 456 to 457 T3 Pg 457 to 458

25 Signature of HOD Date: Signature of faculty Date:

26 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : SCHEDULE OF INSTRUCTIONS UNIT PLAN Semester : I UNIT NO.: V. Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR Lesson No Date No. of Periods Topics / Sub - Topics Objectives & Outcomes Nos. CObj:,,5 CO:, CObj:,,5 CO:, CObj:,,5 CO:, CObj:,,5 CO:, CObj:,,5 /0/3 Definitions of filters, classification, schematic of filters 3/0/3 Low pass RL-RC filters and problems 5/0/3 High pass RL-RC filters and problems 9/0/3 Band pass RL-RC filters and problems 30/0/3 Applications of filters in practice and problems CO:, 0//3 Continuation of problems on filters CObj:,,5 CO:, References (Text Book, Journal ) Page Nos.: to T3 Pg 75 to 754 T3 Pg 756 to 759 T3 Pg 759 to 76 T3 Pg 764 to 767 T3 Pg 789 to 79 T3 Pg 79 to 794 Signature of HOD Date: Signature of faculty Date:

27 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 9/07/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: Duration of Lesson: 60Min Lesson Title: Introduction to three phase circuits INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections. TEACHING AIDS : Duster, Marker, White Board. TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three phase sources and loads. 30 min.: Three phase waveform and phase sequence and problems on it. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is difference between star and delta connection and what is phase sequence? (CObj:,,3/CO:,,3,5,6) Signature of faculty

28 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 3/07/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: Duration of Lesson: 90Min Lesson Title: Analysis of star-star connection. INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections TEACHING AIDS :Marker, Duster,Whiteboard TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three phase star-star circuit connection and explanation ov terminology. 60 min.: Deriving relation between line and phase voltages and currents and expression for power and problems. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is the relation between phase and line voltage in a star connection?(cobj:,,3/co:,,3,5,6) Signature of faculty

29 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 4/07/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 3 Duration of Lesson: 90Min. Lesson Title: Analysis of delta-delta connection INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three phase delta-delta circuit connection and explanation of terminology. 60 min.: Deriving relation between line and phase voltages and currents and expression for power and problems. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is the relation between phase and line voltages and currents in a delta connection? (CObj:,,3/CO:,,3,5,6) Signature of faculty

30 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 6/07/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 4 Duration of Lesson: 60Min. Lesson Title: Analysis of star-delta and delta-star connection. INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three phase delta-star and star-delta circuit connection and explanation of terminology. 30 min.: Deriving relation between line and phase voltages and currents and expression for power and problems for delta-star and star-delta circuit. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What isrelation of voltages and currents in a star-delta and delta-star connection? (CObj:,,3/CO:,,3,5,6) Signature of faculty

31 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date:30/07/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 5 Duration of Lesson: 90Min. Lesson Title: Unbalanced circuits INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three phase unbalancedsource and load connection and explanation of terminology. 60 min.: Analysis of unbalanced delta connected load. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is a unbalanced source and load?(cobj:,,3/co,,3,5,6) Signature of faculty

32 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 3/07/3. Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 6 Duration of Lesson: 90Min. Lesson Title: Four wire unbalanced star connected load INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections. TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three phase unbalanced 4 wire connection and explanation of terminology. 60 min.: Analysis of unbalanced 4 wire star connected circuit. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is a unbalanced 4-wire star connection?(cobj:,,3/co:,,3,5,6) Signature of faculty

33 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 0/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 7 Duration of Lesson: 90Min. Lesson Title: Analysis of unbalanced delta-star connection and Millmans method. INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections. TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three phase unbalanced delta star connection and explanation of terminology. 60 min.: Analysis of unbalanced delta-star connection and Millmans method. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is Millmans method?(cobj:,,3/co:,,3,5,6) Signature of faculty

34 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 05/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code:GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 8 Duration of Lesson: 90Min. Lesson Title: Three wattmeter method INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections. TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Three wattmeter method connection and explanation of terminology. 60 min.: Analysis of 3 wattmeter method of power measurement. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is a 3 wattmeter method of power measurement?(cobj:,,3/co:,,3,5,6) Signature of faculty

35 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date:06/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code:GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 9 Duration of Lesson: 90Min Lesson Title: wattmeter method INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To analyse the various three phase circuits star and delta connections. TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two wattmeter method connection and explanation of terminology. 60 min.: Analysis of wattmeter method of power measurement. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is a wattmeter method?(cobj:,,3/co:,,3,5,6) Signature of faculty

36 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 07/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 0 Duration of Lesson: 90Min. Lesson Title: Two-por networks introduction INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them.. TEACHING AIDS :Duster, Marker, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks introduction explanation. 60 min.: Explanation of z and y parameters and problem solving. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What are two port networks and Z, Y parameters?(cobj:,,6/co:,,3,7) Signature of faculty

37 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 3/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: Duration of Lesson: 90Min. Lesson Title: h, g, T, t parameters INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them. TEACHING AIDS :Duster, Marker, White board. TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks explanation. 60 min.: Explanation of h, g, T, t parameters and problem solving. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What are h, g, T, t parameters?(cobj:,,6/co:,,3,7) Signature of faculty

38 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 4/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: Duration of Lesson: 90Min. Lesson Title: Interrelation of various parameters INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them. TEACHING AIDS :Duster, Marker, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks interrelation. 60 min.: Interrelation solving. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is interrelation of parameters? (CObj:,,6/CO:,,3,7) Signature of faculty

39 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 7/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 3 Duration of Lesson: 90Min. Lesson Title: Continuation of interrelation of various parameters INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them. TEACHING AIDS : TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks interrelations. 60 min.: Interrelations solving. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is interrelations?(cobj:,,6/co:,,3,7) Signature of faculty

40 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 8/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 4 Duration of Lesson: 90Min. Lesson Title: Symmetry and Reciprocity conditions INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them. TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks symmetry and reciprocity introduction. 60 min.: Conditions of symmetry and reciprocity for various parameters. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What are conditions of symmetry and reciprocity?(cobj:,,6/co:,,3,7) Signature of faculty

41 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 30/08/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 5 Duration of Lesson: 60Min. Lesson Title: Transformed variables INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them. TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks transformation. 30 min.: Problems using transformed variables. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What are transformed variables?(cobj:,,6/co:,,3,7) Signature of faculty

42 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 03/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 6 Duration of Lesson: 90Min. Lesson Title: Driving and transfer impedance functions INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them. TEACHING AIDS : TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks driving point and transfer impedance introduction. 60 min.: Driving point and transfer function problem solving. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is driving point and transfer function?(cobj:,,6/co:,,3,7) Signature of faculty

43 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 06/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 7 Duration of Lesson: 60Min. Lesson Title: Poles and zeros INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks.. To solve the given circuit with various theorems and methods. 3. To relate various two port parameters and transform them. TEACHING AIDS : Duster, Marker, White board. TEACHING POINTS : 5 min.: Taking attendance 5 min.: Two port networks poles and zeros. 30 min.: Necessary conditions for driving point and transfer impedance functions. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What are poles and zeros?(cobj:,,6/co:,,3,7) Signature of faculty

44 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 0/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 8 Duration of Lesson: 90Min. Lesson Title: DC Transient analysis INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able :. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS :Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Transient analysis introduction. 60 min.: RL RC series circuits dc transient analysis. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What id transient analysis? (CObj:,/CO:,,3) Signature of faculty

45 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: /09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 9 Duration of Lesson: 90Min. Lesson Title: DC Transient analysis of RLC circuit INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:.. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Transient analysis introduction. 60 min.: RLC series and parallel circuits dc transient analysis. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is RLC transient analysis? (CObj:,/CO:,,3) Signature of faculty

46 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 3/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 0 Duration of Lesson: 60Min. Lesson Title: Problems on transient analysis. INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Transient analysis revision. 30 min.: Problems on dc transient analysis. 0min.: Doubts clarification and Review of the class. Assignment / Questions: Problems on transient analysis.(cobj:,/co:,,3) Signature of faculty

47 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 7/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: Duration of Lesson: 90Min. Lesson Title: Step, ramp, pulse, impulse transient analysis INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Step, ramp, pulse, impulse signals introduction. 60 min.: Step, ramp, pulse, impulse RL, RC circuits transient analysis. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What are different test signals?(cobj:,/co:,,3) Signature of faculty

48 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 0/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: Duration of Lesson: 60Min. Lesson Title: Sinusoidal transient analysis of RL, RC citcuits INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Sinusoidal analysis introduction. 30 min.: Sinusoidal RL, RC circuits transient analysis. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is sinusoidal transient analysis?(cobj:,/co:,,3) Signature of faculty

49 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 4/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 3 Duration of Lesson: 90Min. Lesson Title: Sinusoidal RLC transient analysis INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Sinusoidal analysis introduction. 60 min.: Problems on RL, RC circuits transient analysis. 0min.: Doubts clarification and Review of the class. Assignment / Questions: Problems on RL, RC sinusoidal analysis.(cobj:,/co:,,3) Signature of faculty

50 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 7/09/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 4 Duration of Lesson: 90Min. Lesson Title: INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Sinusoidal analysis introduction. 60 min.: Sinusoidal RLC circuit transient analysis. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is sinusoidal RLC transient analysis?(cobj:,/co:,,3) Signature of faculty

51 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 0/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 5 Duration of Lesson: 90Min. Lesson Title: Introduction to Network topology INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To distinguish between tie set and cut set methods for solving various circuits.. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to network topology. 60 min.: Various definitions like graph, tree, link, twig, cotree so on. 0min.: Doubts clarification and Review of the class. Assignment / Questions:What is network topology? (CObj:,,4/CO:,,3,4) Signature of faculty

52 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 08/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 6 Duration of Lesson: 90Min. Lesson Title: Tieset and Cutset matrices. INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To distinguish between tie set and cut set methods for solving various circuits. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to cuset and tieset. 60 min.: Various problems on cutset and tieset. 0min.: Doubts clarification and Review of the class. Assignment / Questions: What is cutset and tieset?(cobj:,,4/co:,,3,4) Signature of faculty

53 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 09/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 7 Duration of Lesson: 90Min. Lesson Title: Duality and dual networks INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. 3. To distinguish between tie set and cut set methods for solving various circuits. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to duality. 60 min.: Analysis and problems on dual networks. 0min.: Doubts clarification and Review of the class. Assignment / Questions:What isduality? (CObj:,,4/CO:,,3,4) Signature of faculty

54 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: /0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 8 Duration of Lesson: 60Min. Lesson Title: Faradays laws of electromagnetic induction INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to magnetic circuits. 30 min.: Faradays laws of electro magnetic induction, self and mutual inductance. 0min.: Doubts clarification and Review of the class Assignment / Questions: What are Faradays laws of electro magnetic induction? (CObj:,/CO:,,3,4) Signature of faculty

55 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 5/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 9 Duration of Lesson: 90Min. Lesson Title: Dot convention and coefficient of coupling INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to magnetic circuits. 60 min.: Dot convention, coefficient of coupling, series and parallel magnetic icircuits. 0min.: Doubts clarification and Review of the class Assignment / Questions: What is dot convention? (CObj:,/CO:,,3,4) Signature of faculty

56 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 6/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 30 Duration of Lesson: 90Min. Lesson Title:Composite magnetic circuits INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. To prepare the students to have a basic knowledge in the analysis of Electric Networks. To solve the given circuit with various theorems and methods. TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Parallel to magnetic circuits. 30 min.: Composite magnetic circuits. 0min.: Doubts clarification and Review of the class Assignment / Questions: What is a composite magnetic circuit (CObj:,/CO:,,3,4) Signature of faculty

57 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: /0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 3 Duration of Lesson: 90Min. Lesson Title: Introduction to filters INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. prepare the students to have a basic knowledge in the analysis of Electric Networks. solve the given circuit with various theorems and methods 3. design various types of filters TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to filters. 60 min.: Circuits of various filters. 0min.: Doubts clarification and Review of the class Assignment / Questions: What is a filter?(cobj:,,5/co:,) Signature of faculty

58 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 3/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 3 Duration of Lesson: 90Min. Lesson Title: Low pass filter INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. prepare the students to have a basic knowledge in the analysis of Electric Networks. solve the given circuit with various theorems and methods 3. design various types of filters TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to low pass filter. 60 min.: Circuit and problems of low pass filter. 0min.: Doubts clarification and Review of the class Assignment / Questions:What is a low pass filter? (CObj:,,5/CO:,) Signature of faculty

59 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 5/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 33 Duration of Lesson: 60Min. Lesson Title: High pass filter INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. prepare the students to have a basic knowledge in the analysis of Electric Networks. solve the given circuit with various theorems and methods 3. design various types of filters TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to high pass filter. 30 min.: Circuit and problems of high pass filter. 0min.: Doubts clarification and Review of the class Assignment / Questions: What is a high pass filter?(cobj:,,5/co:,) Signature of faculty

60 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 9/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 34 Duration of Lesson: 90Min. Lesson Title: Band pass filter INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. prepare the students to have a basic knowledge in the analysis of Electric Networks. solve the given circuit with various theorems and methods 3. design various types of filters TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Introduction to band pass filter. 60 min.: Circuit and problems of band pass filter. 0min.: Doubts clarification and Review of the class Assignment / Questions: What is a band pass filter? (CObj:,,5/CO:,) Signature of faculty

61 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 30/0/3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 35 Duration of Lesson: 90Min. Lesson Title: Applications of filter INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. prepare the students to have a basic knowledge in the analysis of Electric Networks. solve the given circuit with various theorems and methods 3. design various types of filters TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 5 min.: Applications of various filters. 60 min.: Problems on various filters. 0min.: Doubts clarification and Review of the class Assignment / Questions:What are the applications of filters? (CObj:,,5/CO:,) Signature of faculty

62 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) LESSON PLAN Academic Year : Date: 0//3 Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.:EEE Designation: ASST.PROFESSOR Lesson No: 36 Duration of Lesson: 60Min. Lesson Title: Problems on filters INSTRUCTIONAL/LESSON OBJECTIVES: On completion of this lesson the student shall be able to:. prepare the students to have a basic knowledge in the analysis of Electric Networks. solve the given circuit with various theorems and methods 3. design various types of filters TEACHING AIDS : Marker, Duster, White board TEACHING POINTS : 5 min.: Taking attendance 45 min.: Problems on filters. 0min.: Doubts clarification and Review of the class Assignment / Questions: Problems on filters. (CObj:,,5/CO:,) Signature of faculty

63 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) ASSIGNMENT SHEET Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR This Assignment corresponds to Unit No. / Lesson Q.Explain the concept of dot convention in coupled coils. Define self and mutual inductance. Q. Two coupled coils have self inductances L=0mH and L=0mH.K being 0.75, find voltage in the second coil and the flux of first coil provided the second coil has 500 turns and the circuit current is given by i=sin34t A. Q3. Define graph, tree, link, cotree with an example. Q4. What are the properties of a tree, incidence matrix. Q5. Explain the procedure of forming tie-set matrix and cutset matrix Objective Nos.:,,4. Outcome Nos.:,,3,4. Signature of HOD Date: Signature of faculty Date:

64 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) ASSIGNMENT SHEET Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR This Assignment corresponds to Unit No. / Lesson. Q. Explain the relationship between line and phase voltages and currents in a delta connection. Q. A three phase balanced system supplies 0v to a delta connected load whose phase impedances are equal to (3.54+j3.54) ohm. Determine the line currents and draw the Phasor diagram. Q3. A balanced 3ph load draws 8kw at a lagging pf 0f 0.8. If the line voltage applied is 440v, find the complex power and line current. Q4. A3ph load has a resistance of 0ohm in each ph and is connected in star and delta against a 400v, 3ph supply. Compare power consumed in both cases. Q5. A 3ph 400v load has a pf of 0.4. Two wattmeters are connected to measure the power. If the input power be 0kw, find the readings of each instrument. Please write the Questions / Problems / Exercises which you would like to give to the students and also mention the Objectives/Outcomes to which these Questions / Problems / Exercises are related. Objective Nos.:,,3. Outcome Nos.:,,3,5,6. Signature of HOD Date: Signature of faculty Date:

65 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) ASSIGNMENT SHEET 3 Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR This Assignment corresponds to Unit No. / Lesson 3. Q. A dc of 00v is suddenly applied to a series RL circuit having 0ohm and 0.H. Determine the voltage drop across the inductor at the instant of switching on and at 0.0sec later. Q. A dc source feeds a resistance of 000kilo ohms in series with a 5microfarads capacitor. Find the time taken for the capacitor when the charge retained will be decayed to 50% of the initial value, the voltage source being short circuited. Q3. A 0microfarad capacitor is initially charged to 00v dc. It is then discharged through a resistance of Rohms for 0sec when the pd across the capacitor is 50v. Calculate R value. Q4. In a series RLC circuit of 5ohm, H, F, a dc voltage of 0v is applied at t=0. Obtain i(t). Q5. A series RC circuit has 0ohm and 00microfarads. A voltage of 00sin34t is applied at t=.4msec. Obtain an expression for i. Please write the Questions / Problems / Exercises which you would like to give to the students and also mention the Objectives/Outcomes to which these Questions / Problems / Exercises are related. Objective Nos.:,. Outcome Nos.:,,3. Signature of HOD Date: Signature of faculty Date:

66 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) ASSIGNMENT SHEET 4 Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR This Assignment corresponds to Unit No. / Lesson 4. Q.Obtain the Z and Y parameters for a two port network. Q. Obtain the condition for symmetry and reciprocity for h and g parameters. Q3. Express the ABCD parameters in terms of h and y parameters. Q4. The z parameters of a circuit are given by 4,,3,3 ohms respectively. Obtain ABCD parameters. Q5. A gyrator is terminated by a series RL circuit at its output. Find the equivalent network. Objective Nos.:,,6. Outcome Nos.:,,3,7. Signature of HOD Date: Signature of faculty Date:

67 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) ASSIGNMENT SHEET 5 Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR This Assignment corresponds to Unit No. / Lesson 5. Q.Explain the analysis of prototype low pass filter. Q. Design a constant k lpf havinf fc=.5khz and R0=700ohm. Also find the frequency at which this filter produces attenuation of 9.dB. Q3. Design a constant k hpf having fc=4khz and design impedance of 600ohm. Q4. Explain the analysis of prototype band pass filter. Q5. Explain the analysis of prototype band stop filter. Objective Nos.:,,5. Outcome Nos.:,. Signature of HOD Date: Signature of faculty Date:

68 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) TUTOTIAL SHEET - Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR. This Tutorial corresponds to Unit No. / Lesson I. Q.Explain the relation between line and phase voltage in a three phase star connected network. Q. Explain the relation between line and phase current in a three phase delta connected network. Q3.Discuss the analysis of three phase three wire unbalanced star connected circuit. Q4.Explain the -wattmeter method of power measurement. Objective Nos.:,,3. Outcome Nos.:,,3,5,6. Signature of HOD Date: Signature of faculty Date:

69 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) TUTOTIAL SHEET - Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR. This Tutorial corresponds to Unit No. / Lesson II. Q.Explain the Z and Y parameters. Q.Derive the condition of symmetry for various parameters. Q3. Derive the condition of reciprocity for various parameters. Q4.Write down the necessity conditions for driving point and transfer functions. Objective Nos.:,,6. Outcome Nos.:,,3,7. Signature of HOD Date: Signature of faculty Date:

70 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) TUTOTIAL SHEET - 3 Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR. This Tutorial corresponds to Unit No. / Lesson III. Q. Explain the transient analysis of RL circuit with DC excitation. Q. Explain the transient analysis of RC circuit with DC excitation. Q3. Explain the transient analysis of RLC circuit with sinusoidal excitation. Q4. Explain the transient analysis of RL and RC circuit with step, ramp, pulse, impulse excitation. Objective Nos.:,. Outcome Nos.:,,3. Signature of HOD Date: Signature of faculty Date:

71 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) TUTOTIAL SHEET - 4 Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR. This Tutorial corresponds to Unit No. / Lesson IV. Q. Define tree, co-tree, link, twig, incidence matrix. Q. Explain the procedure for writing tieset and cutset matrices. Q3. Explain Faradays laws of electro magnetic induction. Q4. Define self and mutual inductance, coefficient of coupling. Objective Nos.:,,4. Outcome Nos.:,,3,4. Signature of HOD Date: Signature of faculty Date:

72 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) TUTOTIAL SHEET - 5 Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR. This Tutorial corresponds to Unit No. / Lesson V. Q. Explain the analysis of low pass filter. Q. Explain the analysis of high pass filter. Q3. Explain the analysis of band pass filter. Objective Nos.:,,5. Outcome Nos.:,. Signature of HOD Date: Signature of faculty Date:

73 EEE II YEAR I SEMESTER NETWORK THEORY (GRA08) MODEL QUESTION PAPER ANSWER ANY FIVE QUESTIONS ALL QUESTIONS CARRY EQUAL MARKS 5 X 5=75 Time: 3Hrs.(a) Two coupled coils have self-inductances 50mH and 70mH. The coefficient of coupling being 0.65 in the air, find voltage in the second coil and the flux of the first coil provided the second coil has 500 turns and the circuit current is given by i=5sin34t amps. 7MARKS (b)explain the relation between twigs and links in graph theory and what are the properties of a tree in a graph. 8MARKS.(a) A 3phase 4000V system has a delta connected load with Zab=(8+j6) Zbc=(+j6) and Zca=(6-j8). Find the phase currents and line currents. Determine the power consumed by each load impedance. Draw the phasor diagram. 8MARKS (b)three identical resistances are connected in a star fashion against a balanced three phase voltage supply. If one of the resistances be removed, by how much the power be reduced? 7MARKS 3.(a)In the circuit given below (shown in Figure.) switch k is put in position, for m Sec. and then thrown to position. Find the transient current in both intervals. 6MARKS (b) Derive the transient response of RLC series circuit with sinusoidal input. 9MARKS 4.(a)Explain the properties of driving point functions. 6MARKS (b) For the two port network given below (Shown in Figure.3) determine ABCD & hybrid parameters. 9MARKS

74 5.Draw the circuit diagram of a High pass filter. Explain the design procedure of the above filter in detail. 5MARKS 6.(a)Define mutual inductance and self inductance. 8MARKS (b)explain the initial conditions to be considered in transient analysis. 7MARKS 7.(a)Explain single wattmeter method of measurement of reactive power. (b)express the Z-parameters in terms of Y-parameters and h-parameters. 7MARKS 8MARKS

75 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) Academic Year : Semester : I EVALUATION STRATEGY Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY.. Name of the Faculty: M.Srikanth..Dept.:EEE. Designation : ASST.PROFESSOR.. TARGET: A) Percentage for pass: 40% b) Percentage of class: 85%. COURSE PLAN & CONTENT DELIVERY PPT presentation of the Lectures Solving exercise problems Model questions 3. METHOD OF EVALUATION 3. Continuous Assessment Examinations (CAE-I, CAE-II) 3. Assignments/Seminars 3.3 Mini Projects 3.4 Quiz 3.5 Semester/End Examination 3.6 Others 4. List out any new topic(s) or any innovation you would like to introduce in teaching the subjects in this Semester. Transient analysis of RL, RC, RLC circuits with exponential signal. Signature of HOD Date: Signature of faculty Date:

76

77 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) COURSE COMPLETION STATUS Academic Year : Semester : I Name of the Program: B.Tech Year: II.. Section: A Course/Subject: NETWORK THEORY Course Code: GRA08 Name of the Faculty: M.Srikanth..Dept.: EEE Designation: ASST.PROFESSOR. Actual Date of Completion & Remarks, if any Units Remarks No. of Objectives Achieved No. of Outcomes Achieved Unit Unit Unit 3 Date of completion is : 06/08/03 This unit has taken more number of periods than required because of revision of I Year I Sem BEE fundamentals. Date of completion is :06/09/03 Completed in time. But would have been better if more problems were solved. Date of completion is: 4/09/03. Some of the tough problems were solved at a standard of competitive exams.,,3,,3,5,6,,3,6,,3,7,,3,,3 Unit 4 Date of completion is:6/09/03.covered in time.,,3,4,,3,4 Unit 5 Dateof completion is:0//03.covered in time.,,3,5,,3 Signature of HOD Date: Signature of faculty Date:

78 Gokaraju Rangaraju Institute of Engineering and Technology (Autonomous) Bachupally, Kukatpally, Hyderabad , A.P., India. (040) PREVIOUS RESULT ANALYSIS (A-Section) Year Subject Total No. of students appeared No. of students passed No. of students failed < to 70 > 70 Pass percent age 00- NT NT NT

79 INTRODUCTION Almost all electric power generation and most of the power transmission in the world is in the form of three-phase AC circuits. A three-phase AC system consists of three-phase generators, transmission lines, and loads. There are two major advantages of three-phase systems over a single-phase system: ) More power per kilogram of metal form a three-phase machine; ) Power delivered to a three-phase load is constant at all time, instead of pulsing as it does in a single-phase system. The first three-phase electrical system was patented in 88 by John Hopkinson - British physicist, electrical engineer, Fellow of the Royal Society.

80 . Generation of three-phase voltages and currents A three-phase generator consists of three single-phase generators with voltages of equal amplitudes and phase differences of 0 0.

81 . Generation of three-phase voltages and currents Each of three-phase generators can be connected to one of three identical loads. This way the system would consist of three single-phase circuits differing in phase angle by 0 0. The current flowing to each load can be found as I V Z (3.4.)

82 . Generation of three-phase voltages and currents Therefore, the currents flowing in each phase are I I A B V Z V Z 0 0 I 0 0 I 0 (3.5.) (3.5.) I A V Z 40 0 I 40 (3.5.3)

83 . Generation of three-phase voltages and currents We can connect the negative (ground) ends of the three single-phase generators and loads together, so they share the common return line (neutral).

84 Generation of three-phase voltages and currents As long as the three loads are equal, the return current in the neutral is zero! Such three-phase power systems (equal magnitude, phase differences of 0 0, identical loads) are called balanced. As long as the three loads are equal, the return current in the Phase neutral Sequence is zero! is the order in which the voltages in the individual phases peak. balanced.

85 Voltages and currents Each generator and each load can be either Y- or -connected. Any number of Y- and -connected elements may be mixed in a power system. Phase quantities - voltages and currents in a given phase. Line quantities voltages between the lines and currents in the lines connected to the generators.

86 . Y-connectio n Voltages and currents

87 Voltages and currents. Y-connection (cont) V V V an bn cn V V V I I I a b c I I I

88 Voltages and currents. Y-connection (cont ) The current in any line is the same as the current in the corresponding phase Vab Va Vb V 0 V 0 V V j V V j V V 3 j 3V 30 0

89 An Introduction To Two Port Networks

90 Two Port Networks Generalities: The standard configuration of a two port: I I + + Input Output V Port The Network _ V Port _ The network? * notes The voltage and current convention?

91 Two Port Networks Network Equations: Impedance Z parameters V = z I + z I V = z I + z I V = b V - b I I = b V b I Admittance Y parameters I = y V + y V I = y V + y V Hybrid H parameters V = h I + h V I = h I + h V Transmission A, B, C, D parameters V = AV - BI I = CV - DI I = g V + g I V = g V + g I * notes

92 Two Port Networks Z parameters: V z I I 0 z is the impedance seen looking into port when port is open. V z I V z I V z I I 0 I 0 I 0 z is a transfer impedance. It is the ratio of the voltage at port to the current at port when port is open. z is a transfer impedance. It is the ratio of the voltage at port to the current at port when port is open. z is the impedance seen looking into port when port is open. * notes

93 Two Port Networks Y parameters: I y V V 0 y is the admittance seen looking into port when port is shorted. I y V I y V I y V V 0 V 0 V 0 y is a transfer admittance. It is the ratio of the current at port to the voltage at port when port is shorted. y is a transfer impedance. It is the ratio of the current at port to the voltage at port when port is shorted. y is the admittance seen looking into port when port is shorted. * notes

94 Two Port Networks Z parameters: Example Given the following circuit. Determine the Z parameters. I I V 0 0 V Find the Z parameters for the above network.

95 Two Port Networks Z parameters: Example (cont ) For z : Z = = 0 For z : Z = 0 30 = For z : I 8 0 I + + V z I I 0 V 0 0 V V 0xI 8 0 x0 30 xi Therefore: 8xI z 8 = z I

96 Two Port Networks Z parameters: Example (cont ) The Z parameter equations can be expressed in matrix form as follows I I V V I I z z z z V V

97 Two Port Networks Z parameters: Example (problem 8.7 Alexander & Sadiku) You are given the following circuit. Find the Z parameters V x V V - _ I I V x _

98 Two Port Networks Z parameters: Example (continue p) I V z I I 0 V x V x V 6 x 6V x V x 6 V 3V I x ; but V x V I Substituting gives; I 3V I V 5 or z I 3 x I I V V x V - V x _ Z = Z Other Answers = 0. Z =. _

99 Two Port Networks Transmission parameters (A,B,C,D): The defining equations are: I V D C B A I V V V A I = 0 I V B V = 0 V I C I = 0 I I D V = 0

100 Two Port Networks Transmission parameters (A,B,C,D): Example Given the network below with assumed voltage polarities and Current directions compatible with the A,B,C,D parameters. I -I R V R V + + We can write the following equations. V = (R + R )I + R I V = R I + R I It is not always possible to write equations in terms of the V s and I s Of the parameter set.

101 Two Port Networks Later we will see how to interconnect two of these networks together for a final answer * notes Transmission parameters (A,B,C,D): Example (cont.) V = (R + R )I + R I V = R I + R I From these equations we can directly evaluate the A,B,C,D parameters. V A V R R B = I = 0 R I V V = 0 = R I C V I = D I = 0 R I V = 0 =

102 Two Port Networks Hybrid Parameters: The equations for the hybrid parameters are: V I h h h h I V h V I V = 0 h V V I = 0 h I I V = 0 h I V I = 0 * notes

103 Two Port Networks Hybrid Parameters: The following is a popular model used to represent a particular variety of transistors. I I K V K V _ K 3 V K 4 V We can write the following equations: * notes V I AI CI BV V D

104 Two Port Networks Hybrid Parameters: V I AI CI BV V D We want to evaluate the H parameters from the above set of equations. h V I V = 0 = K h V V = I = 0 K h I I V = 0 = K 3 h I V I = 0 = K 4

105 Two Port Networks Hybrid Parameters: Another example with hybrid parameters. Given the circuit below. I -I The equations for the circuit are: R V R V V = (R + R )I + R I + + V = R I + R I The H parameters are as follows. h V I V =0 = R h V V I =0 = h I I V =0 = - h I V I =0 = R

106 Two Port Networks Modifying the two port network: Earlier we found the z parameters of the following network. I I V 0 0 V V V I I * notes

107 Two Port Networks Modifying the two port network: We modify the network as shown be adding elements outside the two ports 6 I I v _ V 0 0 V 4 We now have: V = 0-6I V = - 4I

108 Two Port Networks Modifying the two port network: We take a look at the original equations and the equations describing the new port conditions. V 0 V = 0-6I V 8 So we have, 8 I I V = - 4I 0 6I = 0I + 8I -4I = 8I + I * notes

109 Two Port Networks Modifying the two port network: Rearranging the equations gives, I I I I

110 Two Port Networks Y Parameters and Beyond: Given the following network. I I + + V s s V (a) (b) Find the Y parameters for the network. From the Y parameters find the z parameters

111 Two Port Networks Y Parameter Example I = y V + y V I y V V 0 I y V V 0 I = y V + y V I I + + V s s V To find y short I y V I V 0 y V We use the above equations to evaluate the parameters from the network. V 0 V I ( s ) I so s s V 0 = s I y V

112 Two Port Networks Y Parameter Example I y V I I V V s s V We see V I I y V = 0.5 S

113 Two Port Networks Y Parameter Example To find y and y we reverse things and short V I y V We have V 0 short I y V I I + + V s s V V 0 We have V I I y = 0.5 S V V I s ( s ) y 0.5 s

114 Two Port Networks Y Parameter Example Summary: y y s Y = y y s Now suppose you want the Z parameters for the same network.

115 Two Port Networks Going From Y to Z Parameters For the Y parameters we have: I YV For the Z parameters we have: V Z I From above; V Y I Z I Z Y Therefore y y where z z Y Y z z y y Y dety Y Y

116 Two Port Parameter Conversions:

117 Two Port Parameter Conversions: To go from one set of parameters to another, locate the set of parameters you are in, move along the vertical until you are in the row that contains the parameters you want to convert to then compare element for element z h H

118 Interconnection Of Two Port Networks Three ways that two ports are interconnected: * Parallel y a y b Y parameters y y y a b * Series z a z b Z parameters z z z a b ABCD parameters * Cascade T a T b T T T a b

119 Interconnection Of Two Port Networks Consider the following network: R R R R T T Referring to slide 3 we have; + _ + _ V V I I V V Find I V R R R R R R R R R R I V

120 I V R R R R R R R R R R I V Interconnection Of Two Port Networks Multiply out the first row: ) ( I R R R R R V R R R R R V Set I = 0 ( as in the diagram) 3 R R R R R V V Can be verified directly by solving the circuit

121

122 Basic Laws of Circuits End of Lesson Two-Port Networks

123 Transient Analysis ECE0 Lect-3

124 Typical Transient Problems What is the voltage as a capacitor discharges to zero? What is the voltage as a capacitor charges from one voltage (often zero) to another constant voltage? How does the current through an inductor increase from zero to a final value? How does the current through an inductor decrease from an initial value to zero?

125 More Typical Problems What are the transient and AC steady-state responses of an RC circuit to a sinusoidal source? What are the transient and AC steady-state responses of an RL circuit to a sinusoidal source? 3

126 Solutions Changes in capacitor voltages and inductor currents from one value to another are easily solved. Changes in other voltages or currents in the circuit may or may not be easy to solve directly; they are all easy to solve using Laplace transforms (EEE 30). 4

127 More Solutions Steady-state responses to sinusoidal sources are easy to find using AC steady-state analysis. Transient responses to sinusoidal sources are hard to find directly; they are easier to find using Laplace transforms. 5

128 What is the time constant for this circuit? 6

129 What is the initial voltage? What is the DC steady state (final) voltage? What does the capacitor voltage v(t) look like? 7

130 Capacitor Voltage v(t) = 3Ve -t/rc v(t) t 8

131 Refresh Rate Suppose we must refresh before v(t) drops below.5v. How long can we wait before a refresh? v(t) t t = 0.693ms ECE0 Lect-3 9

132 3.3V pF + v(t) The 0 of Q. resistor models the on resistance ECE0 Lect-3 0

133 What is the time constant for this circuit? ECE0 Lect-3

134 Capacitor Voltage v(t) = 3.3V(-e -t/rc ) v(t) E-08 E-08 3E-08 4E-08 5E-08 t ECE0 Lect-3

135 Precharge Time Suppose we must precharge the capacitor to 3V. How long does this take? v(t) E-08 E-08 3E-08 4E-08 5E-08 t t = 4.0ns ECE0 Lect-3 3

136 0 t=5ms t=5ms 50 mh 30 µf V 50 ECE0 Lect-3 4

137 Chapter Inductors

138 . - Introduction Inductors have a number of response characteristics similar to those of the capacitor. The inductor exhibits its true characteristics only when a change in voltage or current is made in the network.

139 . - Magnetic Fields In the region surrounding a permanent magnet there exists a magnetic field, which can be represented by magnetic flux lines similar to electric flux lines. Magnetic flux lines differ from electric flux lines in that they don t have an origin or termination point. Magnetic flux lines radiate from the north pole to the south pole through the magnetic bar.

140 Magnetic Fields Continuous magnetic flux lines will strive to occupy as small an area as possible. The strength of a magnetic field in a given region is directly related to the density of flux lines in that region. If unlike poles of two permanent magnets are brought together the magnets will attract, and the flux distribution will be as shown below.

141 Magnetic Fields If like poles are brought together, the magnets will repel, and the flux distribution will be as shown. If a nonmagnetic material, such as glass or copper, is placed in the flux paths surrounding a permanent magnet, there will be an almost unnoticeable change in the flux distribution.

142 Magnetic Fields If a magnetic material, such as soft iron, is placed in the flux path, the flux lines will pass through the soft iron rather than the surrounding air because the flux lines pass with greater ease through magnetic materials than through air. This principle is put to use in the shielding of sensitive electrical elements and instruments that can be affected by stray magnetic fields.

143 Magnetic Fields The direction of the magnetic flux lines can be found by placing the thumb of the right hand in the direction of conventional current flow and noting the direction of the fingers (commonly called the right hand rule).

144 Magnetic Fields Flux and Flux Density In the SI system of units, magnetic flux is measured in webers (Wb) and is represented using the symbol The number of flux lines per unit area is called flux density (B). Flux density is measured in teslas (T). Its magnitude is determined by the following equation:

145 Magnetic Fields Permeability If cores of different materials with the same physical dimensions are used in the electromagnet, the strength of the magnet will vary in accordance with the core used. The variation in strength is due to the number of flux lines passing through the core. Magnetic material is material in which flux lines can readily be created and is said to have high permeability. Permeability ( ) is a measure of the ease with which magnetic flux lines can be established in the material.

146 Magnetic Fields Permeability Permeability of free space 0 (vacuum) is 7 Wb A M Materials that have permeability slightly less than that of free space are said to be diamagnetic and those with permeability slightly greater than that of free space are said to be paramagnetic.

147 Magnetic Fields Permeability Magnetic materials, such as iron, nickel, steel and alloys of these materials, have permeability hundreds and even thousands of times that of free space and are referred to as ferromagnetic. The ratio of the permeability of a material to that of free space is called relative permeability. r 0

148 .3 Inductance Inductors are designed to set up a strong magnetic field linking the unit, whereas capacitors are designed to set up a strong electric field between the plates. Inductance is measure in Henries (H). One henry is the inductance level that will establish a voltage of volt across the coil due to a chance in current of A/s through the coil.

149 Inductance Inductor construction and inductance permeability (Wb/A m) L N l A N A l L number of turns (t) area (m ) length (m) inductance in henries (H)

150 .4 Induced Voltage If a conductor is moved through a magnetic field so that it cuts magnetic lines of flux, a voltage will be induced across the conductor.

151 Induced Voltage Faraday s law of electromagnetic induction The greater the number of flux lines cut per unit time (by increasing the speed with which the conductor passes through the field), or the stronger the magnetic field strength (for the same traversing speed), the greater will be the induced voltage across the conductor. If the conductor is held fixed and the magnetic field is moved so that its flux lines cut the conductor, the same effect will be produced.

152 Induced Voltage Faraday s law of electromagnetic induction If a coil of N turns is placed in the region of the changing flux, as in the figure below, a voltage will be induced across the coil as determined by Faraday s Law.

153 Induced Voltage Lenz s law An induced effect is always such as to oppose the cause that produced it.

154 Induced Voltage The inductance of a coil is also a measure of the change in flux linking a coil due to a change in current through the coil N is the number of turns, is the flux in webers, and i is the current through the coil

155 Induced Voltage The larger the inductance of a coil (with N fixed), the larger will be the instantaneous change in flux linking the coil due to the instantaneous change in the current through the coil. v L di L dt L (volts, V) The voltage across an inductor is directly related to the inductance L and the instantaneous rate of change through the coil. The greater the rate of change of current through the coil, the greater the induced voltage.

156 .5 R-L Transients: The Storage Phase The changing voltage and current that result during the storing of energy in the form of a magnetic field by an inductor in a dc circuit. The instant the switch is closed, inductance in the coil will prevent an instantaneous change in the current through the coil. The potential drop across the coil V L, will equal the impressed voltage E as determined by Kirchhoff s voltage law.

157 R-L Transients: The Storage Phase An ideal inductor (R l = 0 ) assumes a short-circuit equivalent in a dc network once steady-state conditions have been established. The storage phase has passed and steady-state conditions have been established once a period of time equal to five time constants has occurred. The current cannot change instantaneously in an inductive network. The inductor takes on the characteristics of an open circuit at the instant the switch is closed. The inductor takes on the characteristics of a short circuit when steady-state conditions have been established.

158 .6 Initial Values Since the current through a coil cannot change instantaneously, the current through a coil will begin the transient phase at the initial value established by the network before the switch was closed The current will then pass through the transient phase until it reaches the steady-state (or final) level after about 5 time constants The steady-state level of the inductor current can be found by substituting its short-circuit equivalent (or R l for the practical equivalent)

159 The drawing of the waveform for the current i L from the initial value to a final value. Initial Values

160 .7 R-L Transients: The Release Phase In R-L circuits, the energy is stored in the form of a magnetic field established by the current through the coil. An isolated inductor cannot continue to store energy since the absence of a closed path would cause the current to drop to zero, releasing the energy stored in the form of a magnetic field.

161 R-L Transients: The Release Phase Analyzing the R-L circuit in the same manner as the R- C circuit. When a switch is closed, the voltage across the resistor R is E volts, and the R-L branch will respond in the change in the current di/dt of the equation v L = L(di/dt) would establish a high voltage v L across the coil.

162 .8 Thévenin Equivalent: L/R Th If the circuit does not have the basic series form, it is necessary to find the Thévenin equivalent circuit

163 .9 Instantaneous Values The instantaneous values of any voltage or current can be determined by simply inserting t into the equation and using a calculator or table to determine the magnitude of the exponential term. Storage cycle: t log e I i i L I I f f (seconds,s) Decay cycle: t log V i e vl (seconds,s)

164 .0 Average Induced Voltage For inductors, the average induced voltage is defined by v L av L i t L (volts, V)

165 . Inductors in Series and in Parallel Inductors, like resistors and capacitors, can be placed in series Increasing levels of inductance can be obtained by placing inductors in series

166 Inductors in Series and in Parallel Inductors, like resistors and capacitors, can be placed in parallel. Decreasing levels of inductance can be obtained by placing inductors in parallel.

167 . Steady State Conditions An inductor can be replaced by a short circuit in a dc circuit after a period of time greater than five time constants have passed. Assuming that all of the currents and voltages have reached their final values, the current through each inductor can be found by replacing each inductor with a short circuit.

168 .3 Energy Stored by an Inductor The ideal inductor, like the ideal capacitor, does not dissipate the electrical energy supplied to it. It stores the energy in the form of a magnetic field.

169 Introduction To Analog Filters

170 Filters Background:. Filters may be classified as either digital or analog.. Digital filters are implemented using a digital computer or special purpose digital hardware.. Analog filters may be classified as either passive or active and are usually implemented with R, L, and C components and operational amplifiers.

171 Filters Background:. An active filter is one that, along with R, L, and C components, also contains an energy source, such as that derived from an operational amplifier.. A passive filter is one that contains only R, L, and C components. It is not necessary that all three be present. L is often omitted (on purpose) from passive filter design because of the size and cost of inductors and they also carry along an R that must be included in the design.

172 Filters Background:. The analysis of analog filters is well described in filter text books. The most popular include Butterworth, Chebyshev and elliptic methods.. The synthesis (realization) of analog filters, that is, the way one builds (topological layout) the filters, received significant attention during 940 thru 960. Leading the work were Cauer and Tuttle. Since that time, very little effort has been directed to analog filter realization.

173 Background: Filters. Generally speaking, digital filters have become the focus of attention in the last 40 years. The interest in digital filters started with the advent of the digital computer, especially the affordable PC and special purpose signal processing boards. People who led the way in the work (the analysis part) were Kaiser, Gold and Radar.. A digital filter is simply the implementation of an equation(s) in computer software. There are no R, L, C components as such. However, digital filters can also be built directly into special purpose computers in hardware form. But the execution is still in software.

174 Background: Filters. In this course we will only be concerned with an introduction to filters. We will look at both passive and active filters.. We will not cover any particular design or realization methods but rather use our understanding of poles and zeros in the s-plane.. All EE and CE undergraduate students should take a course in digital filter design, in my opinion.

175 Passive Analog Filters Background: Four types of filters - Ideal lowpass highpass bandpass bandstop

176 Passive Analog Filters Background: Realistic Filters: lowpass highpass bandpass bandstop

177 Passive Analog Filters Background: It will be shown later that the ideal filter, sometimes called a brickwall filter, can be approached by making the order of the filter higher and higher. The order here refers to the order of the polynomial(s) that are used to define the filter. Matlab examples will be given later to illustrate this.

178 Passive Analog Filters Low Pass Filter Consider the circuit below. + R + V I _ C V O _ Low pass filter circuit VO ( jw) jwc V ( ) i jw R jwrc jwc

179 Passive Analog Filters Low Pass Filter 0 db -3 db. Bode /RC Passes low frequencies Attenuates high frequencies x Linear Plot 0 /RC

180 Passive Analog Filters High Pass Filter Consider the circuit below. V i + _ C R + VO _ High Pass Filter VO ( jw) R jwrc V ( ) i jw R jwrc jwc

181 High Pass Filter Passive Analog Filters Bode 0 db. -3 db Passes high frequencies /RC Attenuates low frequencies /RC x. Linear 0 /RC

182 Passive Analog Filters Bandpass Pass Filter Consider the circuit shown below: V i + _ C L R + V O _ When studying series resonant circuit we showed that; R VO () s s L Vi () s R s s L LC

183 Bandpass Pass Filter Passive Analog Filters We can make a bandpass from the previous equation and select the poles where we like. In a typical case we have the following shapes. 0 db -3 db.. Bode lo hi Linear 0 lo hi

184 Passive Analog Filters Bandpass Pass Filter Example Suppose we use the previous series RLC circuit with output across R to design a bandpass filter. We will place poles at 00 rad/sec and 000 rad/sec hoping that our 3 db points will be located there and hence have a bandwidth of 800 rad/sec. To match the RLC circuit form we use: 00 s 00s 00 s ( s 00)( s 000) s s ( )( ) s s x The last term on the right can be finally put in Bode form as; jw jw jw ( )( )

185 Passive Analog Filters Bandpass Pass Filter Example From this last expression we notice from the part involving the zero we have in db form; 0log(.0055) + 0logw Evaluating at w = 00, the first pole break, we get a 0.88 db what this means is that our 3dB point will not be at 00 because we do not have 0 db at 00. If we could lower the gain by 0.89 db we would have 3dB at 00 but with the RLC circuit we are stuck with what we have. What this means is that the 3 db point will be at a lower frequency. We can calculate this from 00 db log x db wlow dec

186 Passive Analog Filters Bandpass Pass Filter Example This gives an w low = 8 rad/sec. A similar thing occurs at w hi where the new calculated value for w hi becomes 00. These calculations do no take into account a 0. db that one pole induces on the other pole. This will make w lo somewhat lower and w hi somewhat higher. One other thing that should have given us a hint that our w and w were not going to be correct is the following: R s L ( w w) s R ( s s ) ( s ( w w ) s w w ) L LC What is the problem with this?

187 Passive Analog Filters Bandpass Pass Filter Example The problem is that we have R L w w BW ( w w ) Therein lies the problem. Obviously the above cannot be true and that is why we have aproblem at the 3 db points. We can write a Matlab program and actually check all of this. We will expect that w will be lower than 00 rad/sec and w will be higher than 000 rad/sec.

188 Passive Analog Filters Bode Diagrams -5 db 0-5 From: U() -3 db Phase (deg); Magnitude (db) To: Y()

189 A Bandpass Digital Filter Perhaps going in the direction to stimulate your interest in taking a course on filtering, a 0 order analog bandpass butterworth filter will be simulated using Matlab. The program is given below. N = 0; %0th order butterworth analog prototype [ZB, PB, KB] = buttap(n); numzb = poly([zb]); denpb = poly([pb]); wo = 600; bw = 00; % wo is the center freq % bw is the bandwidth [numbbs,denbbs] = lpbs(numzb,denpb,wo,bw); w = ::00; Hbbs = freqs(numbbs,denbbs,w); Hb = abs(hbbs); plot(w,hb) grid xlabel('amplitude') ylabel('frequency (rad/sec)') title('0th order Butterworth filter')

190 A Bandpass Filter

191 Consider the circuit below: RLC Band stop Filter V i + _ R G v (s) L C + V O _ The transfer function for V O /V i can be expressed as follows: s G LC v ( s) R s s L LC

192 RLC Band Stop Filter Comments This is of the form of a band stop filter. We see we have complex zeros on the jw axis located j LC From the characteristic equation we see we have two poles. The poles an essentially be placed anywhere in the left half of the s-plane. We see that they will be to the left of the zeros on the jw axis. We now consider an example on how to use this information.

193 RLC Band Stop Filter Example Design a band stop filter with a center frequency of 63.5 rad/sec and having poles at 00 rad/sec and 3000 rad/sec. The transfer function is: s s s We now write a Matlab program to simulate this transfer function.

194 RLC Band Stop Filter Example num = [ ]; den = [ ]; w = : 5 : 0000; Bode(num,den,w)

195 RLC Band Stop Filter Example Bode Matlab